x+(x+62)+(x-20)=180

Solution for x+(x+62)+(x-20)=180 equation:

Simplifying
x + (x + 62) + (x + -20) = 180

Reorder the terms:
x + (62 + x) + (x + -20) = 180

Remove parenthesis around (62 + x)
x + 62 + x + (x + -20) = 180

Reorder the terms:
x + 62 + x + (-20 + x) = 180

Remove parenthesis around (-20 + x)
x + 62 + x + -20 + x = 180

Reorder the terms:
62 + -20 + x + x + x = 180

Combine like terms: 62 + -20 = 42
42 + x + x + x = 180

Combine like terms: x + x = 2x
42 + 2x + x = 180

Combine like terms: 2x + x = 3x
42 + 3x = 180

Solving
42 + 3x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -42 + 3x = 180 + -42

Combine like terms: 42 + -42 = 0
0 + 3x = 180 + -42
3x = 180 + -42

Combine like terms: 180 + -42 = 138
3x = 138

Divide each side by '3'.
x = 46

Simplifying
x = 46